Report of the fit

Fit summary

Description: PV19 version x, parameters for NNLL. Trying the parameters that gave chi2 = 1.65708 for replica 0 when minimised with ceres. Minuit with the same parameters, starting from the same fitcofig, didn’t converge.
Minimiser: ceres
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.005144	0.68535248	0.21943481	0.3329461	0.66627605	0.0387879	0.075758463	0.34845635	0.019224141

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 225
\chi_{0}^2 = 1.6571
\chi_{mean}^2 = 1.6392
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.6811 \pm 0.0212
\langle E \rangle \pm \sigma_{E} = 2.6453 \pm 0.202

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.09141059	-0.07706814 \pm 0.02033906	False
N_1	5.3603904	5.58001535 \pm 5.9602724	False
\alpha	1.0686624	1.0880099 \pm 1.02817233	False
\sigma	0.93749188	0.83081613 \pm 0.21101403	False
\lambda	0.49349918	0.50586011 \pm 0.06538656	False
N_{1B}	0.040693304	0.03119942 \pm 0.02253907	False
\alpha_B	0.052748277	0.07833397 \pm 0.05284626	False
\sigma_B	0.56928194	0.26513255 \pm 0.26760086	False
g_{2B}	0.034354286	0.03231374 \pm 0.00769783	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4814	0.0307	0.5121
E605_Q_8_9	8	0.9948	0.0176	1.0124
E605_Q_10.5_11.5	10	0.494	0.1396	0.6336
E288_200_Q_4_5	4	0.9291	0.8595	1.7885
E288_200_Q_5_6	5	2.3107	0.3547	2.6654
E288_200_Q_6_7	6	0.7947	0.2112	1.0059
E288_200_Q_7_8	7	0.9887	0.032	1.0206
E288_200_Q_8_9	8	0.7359	0.0059	0.7419
E288_300_Q_4_5	4	0.7784	0.3426	1.121
E288_300_Q_5_6	5	1.3997	0.1	1.4997
E288_300_Q_6_7	6	1.042	0.0398	1.0818
E288_300_Q_7_8	7	0.3439	0.0425	0.3864
E288_300_Q_8_9	8	0.3919	0.0384	0.4303
E288_400_Q_5_6	5	0.9446	0.001	0.9456
E288_400_Q_6_7	6	0.5281	0.0068	0.5349
E288_400_Q_7_8	7	0.2499	0.0139	0.2637
E288_400_Q_8_9	8	0.5613	0.0126	0.574
E288_400_Q_11_12	11	0.5749	0.0068	0.5817
E288_400_Q_12_13	12	0.5394	0.0113	0.5507
E288_400_Q_13_14	12	0.3455	0.0363	0.3817
STAR_510	7	1.192	0.0136	1.2056
CDF_RunI	25	0.6522	0.1484	0.8006
CDF_RunII	26	1.2759	0.0074	1.2833
D0_RunI	12	0.6652	0.0018	0.667
D0_RunII	5	0.9114	0.2907	1.2022
D0_RunIImu	3	0.1197	0.0844	0.2041
LHCb_7TeV	7	1.945	0.8427	2.7877
LHCb_8TeV	7	1.9245	1.453	3.3775
LHCb_13TeV	7	1.4927	0.2893	1.782
CMS_7TeV	4	2.8928	0	2.8928
CMS_8TeV	4	1.4845	0.1782	1.6627
ATLAS_7TeV_y_0_1	6	6.9545	1.0911	8.0455
ATLAS_7TeV_y_1_2	6	4.9261	0.4825	5.4086
ATLAS_7TeV_y_2_2.4	6	1.8076	0.0099	1.8176
ATLAS_8TeV_y_0_0.4	6	4.7783	0.9776	5.756
ATLAS_8TeV_y_0.4_0.8	6	6.6974	1.5469	8.2443
ATLAS_8TeV_y_0.8_1.2	6	4.3581	0.6689	5.027
ATLAS_8TeV_y_1.2_1.6	6	2.9433	0.4249	3.3682
ATLAS_8TeV_y_1.6_2	6	2.5563	0.2696	2.8259
ATLAS_8TeV_y_2_2.4	6	1.2834	0.1619	1.4453
ATLAS_8TeV_Q_46_66	4	0.7685	0.0368	0.8053
ATLAS_8TeV_Q_116_150	8	1.1501	0.0073	1.1574
Total	319	-	-	1.6571

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.632	0.0898	0.7218
E605_Q_8_9	8	1.2311	0.048	1.2791
E605_Q_10.5_11.5	10	0.3645	0.1015	0.466
E288_200_Q_4_5	4	0.4534	0.4421	0.8956
E288_200_Q_5_6	5	1.3314	0.2707	1.6021
E288_200_Q_6_7	6	0.5796	0.1765	0.7562
E288_200_Q_7_8	7	0.9051	0.0334	0.9385
E288_200_Q_8_9	8	0.9342	0.0128	0.9469
E288_300_Q_4_5	4	0.5336	0.16	0.6935
E288_300_Q_5_6	5	1.1461	0.0595	1.2056
E288_300_Q_6_7	6	0.9439	0.0265	0.9704
E288_300_Q_7_8	7	0.326	0.033	0.359
E288_300_Q_8_9	8	0.2817	0.0393	0.321
E288_400_Q_5_6	5	1.0811	0.0171	1.0982
E288_400_Q_6_7	6	0.6129	0.0299	0.6427
E288_400_Q_7_8	7	0.2957	0.0462	0.3419
E288_400_Q_8_9	8	0.7447	0.0408	0.7856
E288_400_Q_11_12	11	0.839	0.0141	0.8531
E288_400_Q_12_13	12	0.8667	0.0173	0.884
E288_400_Q_13_14	12	0.8895	0.066	0.9555
STAR_510	7	1.1469	0.0372	1.1841
CDF_RunI	25	0.5739	0.1421	0.716
CDF_RunII	26	1.2356	0.006	1.2416
D0_RunI	12	0.6384	0.0007	0.6391
D0_RunII	5	1.0845	0.2943	1.3788
D0_RunIImu	3	0.022	0.0333	0.0554
LHCb_7TeV	7	1.682	0.8471	2.5291
LHCb_8TeV	7	1.8199	1.3821	3.202
LHCb_13TeV	7	1.3368	0.2691	1.6059
CMS_7TeV	4	2.8768	0	2.8768
CMS_8TeV	4	1.5098	0.1835	1.6933
ATLAS_7TeV_y_0_1	6	6.9378	1.0929	8.0307
ATLAS_7TeV_y_1_2	6	4.8183	0.4907	5.3091
ATLAS_7TeV_y_2_2.4	6	1.6825	0.01	1.6924
ATLAS_8TeV_y_0_0.4	6	4.7797	1.0131	5.7928
ATLAS_8TeV_y_0.4_0.8	6	6.5292	1.5932	8.1224
ATLAS_8TeV_y_0.8_1.2	6	4.3571	0.6881	5.0452
ATLAS_8TeV_y_1.2_1.6	6	2.9724	0.4409	3.4133
ATLAS_8TeV_y_1.6_2	6	2.4292	0.2746	2.7039
ATLAS_8TeV_y_2_2.4	6	1.1482	0.1534	1.3016
ATLAS_8TeV_Q_46_66	4	0.716	0.0522	0.7682
ATLAS_8TeV_Q_116_150	8	1.1316	0.0063	1.1379
Total	319	-	-	1.6392

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.5995 \pm 0.1129
E605_Q_8_9	8	1.1402 \pm 0.2059
E605_Q_10.5_11.5	10	0.6505 \pm 0.0869
E288_200_Q_4_5	4	1.6432 \pm 0.2838
E288_200_Q_5_6	5	2.5718 \pm 0.2941
E288_200_Q_6_7	6	0.953 \pm 0.1785
E288_200_Q_7_8	7	1.0033 \pm 0.2007
E288_200_Q_8_9	8	0.7642 \pm 0.099
E288_300_Q_4_5	4	1.0256 \pm 0.2205
E288_300_Q_5_6	5	1.4303 \pm 0.2533
E288_300_Q_6_7	6	1.0212 \pm 0.2546
E288_300_Q_7_8	7	0.3693 \pm 0.1305
E288_300_Q_8_9	8	0.4396 \pm 0.0406
E288_400_Q_5_6	5	0.8875 \pm 0.2744
E288_400_Q_6_7	6	0.5063 \pm 0.257
E288_400_Q_7_8	7	0.2764 \pm 0.2087
E288_400_Q_8_9	8	0.607 \pm 0.1415
E288_400_Q_11_12	11	0.5805 \pm 0.1146
E288_400_Q_12_13	12	0.5689 \pm 0.0652
E288_400_Q_13_14	12	0.4118 \pm 0.0979
STAR_510	7	1.1862 \pm 0.0893
CDF_RunI	25	0.8228 \pm 0.0428
CDF_RunII	26	1.3215 \pm 0.1851
D0_RunI	12	0.6925 \pm 0.0676
D0_RunII	5	1.1317 \pm 0.2789
D0_RunIImu	3	0.1675 \pm 0.1364
LHCb_7TeV	7	2.8144 \pm 0.1096
LHCb_8TeV	7	3.465 \pm 0.3046
LHCb_13TeV	7	1.7713 \pm 0.0866
CMS_7TeV	4	2.8985 \pm 0.025
CMS_8TeV	4	1.66 \pm 0.0851
ATLAS_7TeV_y_0_1	6	8.079 \pm 0.3578
ATLAS_7TeV_y_1_2	6	5.5268 \pm 0.2848
ATLAS_7TeV_y_2_2.4	6	1.8762 \pm 0.1512
ATLAS_8TeV_y_0_0.4	6	5.9515 \pm 0.3255
ATLAS_8TeV_y_0.4_0.8	6	8.3596 \pm 0.2384
ATLAS_8TeV_y_0.8_1.2	6	4.9204 \pm 0.1835
ATLAS_8TeV_y_1.2_1.6	6	3.3781 \pm 0.2154
ATLAS_8TeV_y_1.6_2	6	2.9981 \pm 0.3212
ATLAS_8TeV_y_2_2.4	6	1.7977 \pm 0.5675
ATLAS_8TeV_Q_46_66	4	0.8193 \pm 0.0655
ATLAS_8TeV_Q_116_150	8	1.1704 \pm 0.0417
Total	319	1.6811 \pm 0.0212